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http://dx.doi.org/10.14403/jcms.2018.31.1.75

EXISTENCE OF NON-CONSTANT POSITIVE SOLUTIONS FOR A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DISEASE IN THE PREY

Ryu, Kimun (Department of Mathematics Education Cheongju University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.31, no.1, 2018 , pp. 75-87 More about this Journal

Abstract

In this paper, we consider ratio-dependent predator-prey models with disease in the prey under Neumann boundary condition. We investigate sufficient conditions for the existence and non-existence of non-constant positive steady-state solutions by the effects of the induced diffusion rates.

Keywords

positive steady-states; ratio-dependent; disease-free; non-constant positive solution;

Citations & Related Records

Reference

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